A variation norm Carleson theorem

Richard Oberlin, Andreas Seeger, Terence Tao, Christoph Thiele, James Wright

Type: Article

Publication Date: 2012-02-04

Citations: 131

DOI: https://doi.org/10.4171/jems/307

Abstract

We strengthen the Carleson-Hunt theorem by proving L^p estimates for the r -variation of the partial sum operators for Fourier series and integrals, for r>\max\{p',2\} . Four appendices are concerned with transference, a variation norm Menshov-Paley-Zygmund theorem, and applications to nonlinear Fourier transforms and ergodic theory.

Locations

Journal of the European Mathematical Society - View - PDF
Edinburgh Research Explorer (University of Edinburgh) - View - PDF
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Journal of the European Mathematical Society - View - PDF
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arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF

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+ PDF	Variation inequalities for the Fejér and Poisson kernels	2004	R. W. L. Jones Gang Wang
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